Discrete Dynamical Systems: A Brief Survey

  • Sara Fernandes School of Science and Technology, Universidade de Évora, Research centre CIMA
  • Carlos Ramos School of Science and Technology, Universidade de Évora, Research centre CIMA
  • Gyan Bahadur Thapa Pulchowk Campus, Institute of Engineering, Tribhuvan University
  • Luís Lopes Instituto Superior de Engenharia de Lisboa, Research centre CIMA
  • Clara Grácio School of Science and Technology, Universidade de Évora, Research centre CIMA
DOI: https://doi.org/10.3126/jie.v14i1.20067
Keywords: Dynamical systems, Iteration, Symbolic dynamics, Invariants, Conductance, Synchronization

Abstract

 Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers. A discrete dynamical system is a dynamical system whose state evolves over a state space in discrete time steps according to a fixed rule. This brief survey paper is concerned with the part of the work done by José Sousa Ramos [2] and some of his research students. We present the general theory of discrete dynamical systems and present results from applications to geometry, graph theory and synchronization.

 Journal of the Institute of Engineering, 2018, 14(1): 35-51

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Abstract
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PDF
956
Published
2018-06-04
How to Cite
Fernandes, S., Ramos, C., Thapa, G., Lopes, L., & Grácio, C. (2018). Discrete Dynamical Systems: A Brief Survey. Journal of the Institute of Engineering, 14(1), 35-51. https://doi.org/10.3126/jie.v14i1.20067
Issue
Vol 14 No 1 (2018)
Section
Articles
The Copyright is held by Journal of the Institute of Engineering, IOE, TU